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地图综合中几何相似性的度量
引用本文:刘杨,张晶莹.地图综合中几何相似性的度量[J].吉首大学学报(自然科学版),2018,39(3):87.
作者姓名:刘杨  张晶莹
作者单位:(湖南都市职业学院,湖南 长沙 410137)
摘    要:根据综合前、后地图的几何变化情况,建立了综合地图几何相似性的度量方法.首先提出了度量几何相似性的5个指标(即传统的空间目标距离、Hausdorff距离、对称差面积、旋转函数距离和曲面距离),然后根据地图综合前后的几何变化建立了这5个几何相似性指标的度量函数,最后提出了面目标几何相似性度量的实现方法.

关 键 词:地图综合  几何相似性  Hausdorff距离  旋转函数距离  

Measurement of Geometric Similarity in Map Generalization
LIU Yang,ZHANG Jingying.Measurement of Geometric Similarity in Map Generalization[J].Journal of Jishou University(Natural Science Edition),2018,39(3):87.
Authors:LIU Yang  ZHANG Jingying
Institution:(Hunan Urban Professional College,Changsha 410137,China)
Abstract:This paper presents an approach for the measurement of geometric similarity in map generalization from the point of view of geometric change.In this approach,five basic elements are first put forward,including conventional spatial distance,Hausdorff distance,Area of symmetric difference,Turning function distance and Surface distance.Quantitative indicators are further developed to measure these five elements.Finally,the implementation of the measurement of the geometric similarity is provided to illustrate the rational of the proposed approach.
Keywords:map generalization                                                                                                                        geometric similarity                                                                                                                        Hausdorff distance                                                                                                                        turning function distance
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